2087920800 has 360 divisors, whose sum is σ = 8703880416. Its totient is φ = 477135360.

The previous prime is 2087920787. The next prime is 2087920819. The reversal of 2087920800 is 80297802.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 451299 + ... + 455901.

Almost surely, 2^2087920800 is an apocalyptic number.

2087920800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351940208).

2087920800 is an abundant number, since it is smaller than the sum of its proper divisors (6615959616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2087920800 is a wasteful number, since it uses less digits than its factorization.

2087920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2087920800 is about 45693.7720045084. The cubic root of 2087920800 is about 1278.1191451441.

The spelling of 2087920800 in words is "two billion, eighty-seven million, nine hundred twenty thousand, eight hundred".